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Algebra and Logic

, Volume 45, Issue 4, pp 220–231 | Cite as

Recognition of finite groups by the prime graph

  • A. V. Zavarnitsine
Article

Abstract

We obtain the first example of an infinite series of finite simple groups that are uniquely determined by their prime graph in the class of all finite groups. We also show that there exist almost simple groups for which the number of finite groups with the same prime graph is equal to 2.

Keywords

prime graph finite group modular representations recognition 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. V. Zavarnitsine
    • 1
  1. 1.Institute of Mathematics, Siberian BranchRussian Academy of SciencesNovosibirskRussia

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